Finite metric spaces needing high dimension for Lipschitz embeddings in Banach spaces

DOI10.1007/BF02764804zbMath0807.46015MaRDI QIDQ1802754

Luis Rodríguez-Piazza, Juan Arias de Reyna

Publication date: 29 June 1993

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Lipschitz distanceembeddings of metric spaces

Mathematics Subject Classification ID

Local theory of Banach spaces (46B07)

Related Items (6)

The geometry of graphs and some of its algorithmic applications ⋮ The Johnson-Lindenstrauss lemma almost characterizes Hilbert space, but not quite ⋮ On the distortion required for embedding finite metric spaces into normed spaces ⋮ On embedding expanders into \(\ell_p\) spaces ⋮ On embedding trees into uniformly convex Banach spaces ⋮ An average John theorem

Cites Work

• On Lipschitz embedding of finite metric spaces in Hilbert space
• Extensions of Lipschitz mappings into a Hilbert space
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